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Finding the Fourth Proportional to 1,805.15, 2,708.84 and 831.33

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Solution

The fourth proportional to 1,805.15, 2,708.84 and 831.33 is: 1,247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.15 : 2,708.84 = 831.33 : x
  2. Step 2: Convert to fraction form
    1,805.15/2,708.84 = 831.33/x
  3. Step 3: Cross multiply
    1,805.15x = 2,708.84 × 831.33
  4. Step 4: Simplify right side
    1,805.15x = 2,251,942.04
  5. Step 5: Solve for x
    x = 2,251,942.04/1,805.15
  6. Step 6: Final answer
    x = 1,247.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.